Nonlinear integral models with delays: Recent developments and applications

被引：5

作者：

Hritonenko, Natali ^{[1
]}

Yatsenko, Yuri ^{[2
]}

机构：

[1] Prairie View A&M Univ, Dept Math, POB 519, Prairie View, TX 77446 USA

[2] Houston Baptist Univ, Dunham Coll Business, 7502 Fondren Rd, Houston, TX 77074 USA

来源：

JOURNAL OF KING SAUD UNIVERSITY SCIENCE | 2020年 / 32卷 / 01期

关键词：

Integral dynamic models; Endogenous delay; Optimal control; Population models; Technological renovation; CARBON SEQUESTRATION; REPLACEMENT ANALYSIS; POPULATION-DYNAMICS; FOREST MANAGEMENT; CLIMATE-CHANGE; GROWTH; EQUATIONS; PRINCIPLE; ECHOES;

D O I：

10.1016/j.jksus.2018.11.001

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The authors examine contemporary integral dynamic models of biological, environmental, and technological systems with heterogeneous components. The models contain two-dimensional control functions, nonlinearities, and delays in system inputs. The paper demonstrates the versatility of integral equations and their importance to various applications. Connections and advantages of integral and differential models are discussed. A survey of optimal control strategies for such models is provided. (C) 2018 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.

引用

页码：726 / 731

页数：6

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